What is the 1246th prime number?
The 1246th prime number is 10151. The next prime is 10159 (a gap of 8) and the one before is 10141.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 1246th one is 10151.
- 2
10151 is prime because no prime up to ā10151 ā 100.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1246th prime is close to 1246 Ć ln(1246) ā 8881, and here it is 10151.
- 4
10151 has no twin: neither 10149 nor 10153 is prime.
Primes around the 1246th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1243 | 10133 | 22 |
| 1244 | 10139 | 6 |
| 1245 | 10141 | 2 |
| 1246 | 10151 | 10 |
| 1247 | 10159 | 8 |
| 1248 | 10163 | 4 |
| 1249 | 10169 | 6 |
Questions
What is the 1246th prime number?
10151.
Which prime number is 10151?
10151 is the 1246th prime number.
What is the sum of the first 1246 primes?
5,907,825.